A176436 Decimal expansion of (7+2*sqrt(14))/2.

7, 2, 4, 1, 6, 5, 7, 3, 8, 6, 7, 7, 3, 9, 4, 1, 3, 8, 5, 5, 8, 3, 7, 4, 8, 7, 3, 2, 3, 1, 6, 5, 4, 9, 3, 0, 1, 7, 5, 6, 0, 1, 9, 8, 0, 7, 7, 7, 8, 7, 2, 6, 9, 4, 6, 3, 0, 3, 7, 4, 5, 4, 6, 7, 3, 2, 0, 0, 3, 5, 1, 5, 6, 3, 0, 6, 9, 3, 9, 0, 2, 7, 9, 7, 6, 8, 0, 9, 8, 9, 5, 1, 9, 4, 3, 7, 9, 5, 7, 1, 5, 0, 0, 9, 9

Offset

1,1

Comments

Continued fraction expansion of (7+2*sqrt(14))/2 is A010712 preceded by 7.

Links

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 4*x^2 - 28*x - 7. - Amiram Eldar, Apr 01 2026

Example

7.24165738677394138558374873231654930175601980777872...

Mathematica

RealDigits[(7 + 2*Sqrt[14])/2, 10, 120][[1]] (* Amiram Eldar, Apr 01 2026 *)

Crossrefs

Cf. A010471 (decimal expansion of sqrt(14)), A010712 (repeat 4, 7).

Sequence in context: A021584 A021062 A334843 * A257096 A121562 A167902

Adjacent sequences: A176433 A176434 A176435 * A176437 A176438 A176439

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 19 2010

Status

approved